Radiation in Numerical Compactons from Finite Element Methods
نویسندگان
چکیده
The numerical simulation of the propagation of nonlinear waves may present numericallyinduced radiation. Compactons, solitary waves with compact support, are no exception. The numerical radiation generated by compactons of the Rosenau-Hyman K(2, 2) equation calculated by means of a fourth-order finite element method is illustrated. Small-amplitude forward and backward radiation are shown in the simulations, both having self-similar envelope profiles and high frequency carriers. The amplitude and velocity of the envelope of both radiations are determined. Key-Words: Compactons, Numerical radiation, Finite element methods, Self-similarity
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